I know computability theory, and I am very familiar with the halting problem. A human cannot solve it either. We made literal mathematical proof of it, and that proof is the halting problem.

The entire point of the halting problem is that if you assume that there is a black box that can answer whether a program halts, you then prove it can’t be the case by a proof of contradiction. You can replace the black box with a human brain and it works just as well, that’s the entire point of a black box.

There’s nothing that indicates the human brain has super-turing computation